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Problemy Upravleniya, 2013, Issue 1, Pages 7–18
(Mi pu771)
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This article is cited in 1 scientific paper (total in 1 paper)
Analysis and synthesis of control systems
On realization of quasi-linear systems described by stationary differential equations in Hilbert space
A. V. Lakeeva, V. A. Rusanova, V. A. Kozyrevb a Institute of System Dynamics and Control Theory, Siberian Branch of the Russian Academy of Sciences, Irkutsk
b Irkutsk State University of Railway Engineering
Abstract:
A continuous nonlinear infinite-dimensional dynamic system is considered. The system is defined in terms of the language of its behavior of «input–output» (a model of «black box») type. Various functional-analytical criteria of realization of this system in the separable Hilbert space in the class of quasi-linear stationary differential models with program-positional control are proposed
Keywords:
nonlinear differential realization, autonomous $(A, B, B^\#)_2$-model, $M_2$-extension.
Citation:
A. V. Lakeev, V. A. Rusanov, V. A. Kozyrev, “On realization of quasi-linear systems described by stationary differential equations in Hilbert space”, Probl. Upr., 2013, no. 1, 7–18
Linking options:
https://www.mathnet.ru/eng/pu771 https://www.mathnet.ru/eng/pu/v1/p7
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Abstract page: | 277 | Full-text PDF : | 57 | References: | 63 | First page: | 13 |
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